Game utilizing a plurality of tiles

ABSTRACT

A game utilizing a plurality of tiles wherein each tile includes areas of one color and areas of a second color. In addition, each tile area is coincidental with at least a portion of a tile edge. Still further, each area has a value number assigned to it based on the number of isosceles right triangles that can be placed into said area with the requirement that the leg of each isosceles right triangle be equal to half the length of a tile edge.

United States Patent [191 Kahan Feb. 4, 1975 [54] GAME UTILIZING A PLURALITY 0F TILES 2,571,195 l0/l95l Buck 273/137 D Inventor: Steven J Kahan 3245 88th 3,680,866 8/1972 Kerr 273/137 D Jackson Helghts Primary Examiner-Anton O. Oechsle [22] Filed: Jan. 28, 1974 [21] Appl. No.: 436,893 [57] ABSTRACT A game utilizing a plurality of tiles wherein each tile [52] US, Cl 273/137 (1, 273/130 F 273/135 AC includes areas of one color and areas of a second [51] int. Cl. A631 9/20 color In addition, h il r a is coincidental with at [58] Field of S arch 273/137 R, 137 A, 137 A13 least a portion of a tile edge. Still further, each area 273/137 AB, 137 AC, 137 AD, 137 B, 137 has a value number assigned to it based on the number C, 137 D, 130 F, 135 F, 135 AC of isosceles right triangles that can be placed into said area with the requirement that the leg of each isosce- [56] Ref n it d les right triangle be equal to half the length of a tile UNITED STATES PATENTS edge 487,797 12/1892 Thurston 273/137 D 4 Claims, 41 Drawing Figures PATENTEU FEB 4|975 sum 2 BF FIG. 2/

PATENTED FEB 975 SHEET 3 OF 3 GAME UTILIZING A PLURALITY OF TILES BACKGROUND OF THE INVENTION 1. Field of the Invention Game utilizing a plurality of tiles with each tile having different colored sections and each colored section having a value number thereon SUMMARY OF THE INVENTION l. Purposes of the Invention It is an object of the present invention to provide a game which is enjoyable to play by both young and old.

Another object of the present invention is to provide an interesting and enjoyable game which can be readily learned.

Still a further object of the present invention is to provide an interesting and enjoyable game which enables the participants to devise, develop and utilize different strategy and tactics.

2. Brief Description of the Invention According to the present invention, the foregoing as well as other objects which will be apparent to those having ordinary skill in the art are accomplished by the use of seventy five tiles. Five of the tiles are designated as symmetrical and said symmetrical tiles and different from each other. There are thirty five different pairs of tiles which are non-symmetrical and the tiles of each pair are identical in design but a given area of one tile in a pair is of a first color and the corresponding area of the paired tile is of a second color.

Each tile has the same square shape and each includes four areas. Each tile includes areas of the first and second colors with each area being of a particular color. Each area includes at least one edge which is coincidental with at least a portion of a tile edge. In addition, a value number is located on each area. The value number is determined by the number of equal-sized right isosceles triangles that can fit in said area keeping in mind the leg length of each isosceles triangle is-equal to half the length of a tile edge. If three isosceles triangles can fit in one area that area will have a value number of three, etc.

There are two players and each player selects a color. In addition, each player selects two-tiles at the start of the game. If the colors are red and blue, one player will be red and the other will be blue. If desired, there can be two teams with each team having one or more players. The game commences by one player placing a tile on the center square ofa board which has nine columns and nine rows of squares, said squares being the same size as the tiles. The other playerselects one of his tiles and takes the selected tile so that an edge thereof is matched to an edge of the played tile and so the selected tile is on a square of the board. If the edge of the selected tile is one color, the edge of the played tile it is matched against must be of the same color. On the other hand, if the edge of the selected tile is of'two colors so that half is red and half is blue this edge must be matched against an identical edge of the played tile, i.e., one that is half red and half blue so that the red of the selected tile is immediately adjacent the red of the played tile and the blue ofthe selected tile immediately adjacent the blue of the played tile.

After a player uses a tile and prior to any furtherplay, said player selects-an additional tile from the remaining tiles.

The object of the game is for a player to form a closure, i.e., a completely enclosed ring of his own color formed continuously from adjacent areas of different tiles. A player determines his score by counting up the value numbers in a closure of his own color with there being certain bonuses provided as hereinafter described. The player with the highest score wins. The game is over when all the tiles are used up or passed.

If a player cannot or does not choose to match one of his two tiles with those already played, he passes a tile and places it in a discard area and selects a new tile. Passed tiles cannot be reused.

The invention accordingly consists in the features of construction, combination of elements and arrangement of parts which will be exemplified in the game hereinafter described and of which the scope of application will be indicated in the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS In the drawings:

FIGS. 1-40 illustrate the different tiles that comprise the present invention; and

FIG. 41 illustrates the board for the present inventron.

DESCRIPTION OF THE PREFERRED EMBODIMENTS The game of the present invention utilizes 75 tiles, five of which are classified as symmetrical tiles. These are 35 pairs of tiles which comprise the remaining tiles. The tiles which comprise a pair have identical areas with a given area in one tile in a pair of tiles being a different color from the corresponding area in the other tile of said pair. As an example, ifa given area on a tile is blue the corresponding area on the paired tile is red. All tiles, including symmetrical tiles, include only red and blue areas. All the tiles are of the same square shape.

In FIG. 1 a tile 10 is shown which is symmetrical. Tile 10 has a star at the center thereof to indicate that it is symmetrical and all-the other symmetrical tiles likewise have a star at the center thereof. A symmetrical tile is one in which the two diagonals thereof each bisect the tile into two parts which are the mirror image of each other in design. Tile 10 includes areas A, B, C and D. Area A has a value number of one as does area D, whereas areas B and C have value numbers of three. The value number'of a particular areaon any tile is determined by the number of isosceles right triangles that can be fit into the area keeping in mind that the leg length of the isosceles right triangle must be equal to half the length of a tile edge. Areas A and C of tile 10 are checked to indicate they are red and areas B and Dare unchecked to indicate that they are blue.

In FIG. 2 symmetrical tile 12 is shown having areas A, B, C and D. Each area of tile l2has a number value of two and areas A and D are checked to indicate that they are red, whereas areas B and C are unchecked to indicate that they are blue.

In FIG. 3 of the drawings symmetrical tile 14 includes areas A, B, C and D. Areas A and D of tile 14 have a number value of one, whereas areas B and C have a number value of three. Areas A and C of tile 14 are checked to indicate that they are red and the fact that areas B and D are unchecked indicates that they are blue.

In FIG. 4 of the drawings symmetrical tile 16 is shown and includes areas A, B, C and D, each having a number of value of two. Areas A and C of tile 16 are checked to indicate that they are red and areas B and D are unchecked to indicate that they are blue.

In FIG. 5 of the drawings symmetrical tile 18 is shown which includes areas A, B, C and D. Areas A and D of tile 18 have a number value of one and areas B and C have a number value of three. Areas A and C of tile 18 are checked to indicate that they are red and the fact that areas B and D are unchecked indicates that they are blue.

In FIG. 6 of the drawings a tile 20 is shown which is one of a pair. Tile 20 includes areas A, B, C and D. Areas A, C and D of tile 20 have a number value of one whereas area B has a number value of five. Areas A and C of tile 20 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The'other tile of the pair is not shown but is as previously described.

In FIG. 7 of the drawings a tile 22 is shown which is one of a pair. Tile 22 includes areas A, B, C and D. Areas A, B and D of tile 22 have a number value of one whereas area C has a number value of five. Areas A, B and D of tile 22 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 8 of the drawings a tile 24 is shown which is one of a pair. Tile 24 includes areas A, B, C and D. Areas A, C and D of tile 24 have a number value of one whereas area B has a number value of five. Area B of tile 24 is checked to indicate that it is red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 9 of the drawings a tile 26 is shown which is one of a pair. Tile 26 includes areas A, B, C and D. Areas A and D of tile 26 have a number value of one whereas area B has a number value of two and area C has a number value of four. Areas A, B and D of tile 26 are checked to indicate that they are red and the remaining area is unchecked to indicate that it is blue. The other tile of the pair is not shown but is as previously described.

In FIG. 10 of the drawings a tile 28 is shown which is one of a pair. Tile 28 includes areas A, B, C and D. Areas B, C and D of tile 28 have a number value of one whereas area A has a number value of five. Areas B, C and D of tile 28 are checked to indicate that they are red and the remaining area is unchecked to indicate that it is blue. The other tile of the pair is not shown but is as previously described.

In FIG. 11 of the drawings a tile 30 is shown which is one of a pair. Tile 30 includes areas A, B, C and D. Areas B and D of tile 30 have a number value of one whereas area A has a number value of four and area C has a number value of two. Areas B and C of tile 30 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 12 of the drawings a tile 32 is shown which is one of a pair. Tile 32 includes areas A, B, C and D. Areas A and C of tile 32 have a number value of one whereas areas B and D have a number value of three. Areas A and C of tile 32 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 13 of the drawings a tile 34 is shown which is one of a pair. Tile 34 includes areas A, B, C and D. Areas A and D of tile 34 have a number value of one whereas area B has a number value of four and area C has a number value of two. Areas A and C of tile 34 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously descirbed.

In FIG. 14 of the drawings a tile 36 is shown which is one of a pair. Tile 36 includes areas A, B, C and D. Areas A and B of tile 36 have a number value of one whereas areas C an D have a number value of three. Areas A and C of tile 36 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 15 of the drawings a tile 38 is shown which is one of a pair. Tile 38 includes areas A, B, C and D. Areas A and C of tile 38 have a number value of two whereas area B has a number value of three and area D has a number value of one. Areas A and C of tile 38 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 16 of the drawings a tile 40 is shown which is one of a pair. Tile 40 includes areas A, B, C and D. Areas A and D of tile 40 have a number value of one whereas area B has a number value of two and area C has a number value of four. Areas B and D of tile 40 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 17 of the drawings a tile 42 is shown which is one of a pair. Tile 42 includes areas A, B, C and D. Areas A and D of tile 42 have a number value of one whereas area B has a number value of four and area C has a number value of two. Areas A and C of tile 42 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 18 of the drawings a tile 44 is shown which is one of a pair. Tile 44 includes areas A, B, C and D. Areas A and B of tile 44 have a number value of two whereas area C has a number value of three and area D has a number value of one. Areas B and D of tile 44 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 19 of the drawings a tile 46 is shown which is one of a pair. Tile 46 includes areas A, B, C and D. Areas A and C of tile 46 have a number value of one whereas area B has a number value of two and area D has a number value of four. Area D of tile 46 is checked to indicate it is red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 20 of the drawings a tile 48 is shown which is one of a pair. Tile 48 includes areas A, B, C and D. Areas A and D of tile 48 have a number value of one whereas area B has a number value of two and area C has a number value of four. Areas A and C of tile 48 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 21 of the drawings a tile 50 is shown which is one of a pair. Tile 50 includes areas A, B, C and D. Areas C and D of tile 50 have a number value of one whereas area A has a number value of two and area B has a number value of four. Areas B and D of tile 50 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 22 of the drawings a tile 52 is shown which is one of a pair. Tile 52 includes areas A, B, C and D. Areas A, B and D of tile 52 have a number value of one whereas area C has a number value of five. Areas A and C of tile 52 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 23 of the drawings a tile 54 is shown which is one of a pair. Tile 54 includes areas A, B, C and D. Areas A B and D of tile 54 have a number value of one whereas area B has a number value of five. Areas B and D of tile 54 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 24 of the drawings a tile 56 is shown which is one of a pair. Tile 56 includes areas A, B, C and D. Areas A and B of tile 56 have a number value of one whereas areas C and D have a number value of three. Areas B and D of tile 56 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 25 of the drawings a tile 58 is shown which is one of a pair. Tile 59 includes areas A, B, C and D. Areas C and D of tile 58 have a number value of three. Areas B and D of tile 58 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 26 of the drawings a tile 60 is shown which is one of a pair. Tile 60 includes areas A, B, C and D. Areas B and C of tile 60 have a number value of two whereas area A has a number value of three and area D has a number value of one. Areas B and D of tile 60 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 27 of the drawings a tile 62 is shown which is one of a pair. Tile 62 includes areas A, B, C and D. Areas A and B of tile 62 have a number value of one whereas area C has a number value of four and area D has a number value of two. Areas A and C of tile 62 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 28 of the drawings a tile 64 is shown which is one of a pair. Tile 64 includes areas A, B, C and D. Areas B and D of tile 64 have a number value of one whereas area A has a number value of two and area C has a number value of four. Areas A and C of tile 64 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 29 of the drawings a tile 66 is shown which is one of a pair. Tile 66 includes areas A, B, C and D. Areas B and D of tile 66 have a number value of one whereas areaA has a number value of four and area C has a number value of two. Areas A and C of tile 66 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 30 of the drawings a tile 68 is shown which is one of a pair. Tile 68 includes areas A, B, C and D. Areas A and D of tile 68 have a number value of one whereas area B has a number value of two and area C has a number value of four. Areas B and D of tile 68 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 31 of the drawings a tile 70 is shown which is one of a pair. Tile 70 includes areas A, B, C and D. Areas A and B of tile 70 have a number value of one whereas areas C and D have a number value of three. Area C of tile 70 is checked to indicate it is red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 32 of the drawings a tile 72 is shown which is one of a pair. Tile 72 includes areas A, B, C and D. Areas B and C of tile 72 have a number value of two whereas area A has a number value of three and area D has a number value of one. Areas C and D of tile 72 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown is as previously described.

In FIG. 33 of the drawings a tile 74 is shown which is one of a pair. Tile 74 includes areas A, B, C and D. Areas A and B of tile 74 have a number value of one whereas areas C and D have a number value of three. Area C of tile 74 is checked to indicate it is red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 34 of the drawings a tile 76 is shown which is one of a pair. Tile 76 includes areas A, B, C and D. Areas A and C of tile 76 have a number value of three whereas areas B and D have a number value of one. Areas B and D of tile 76 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 35 of the drawings a tile 78 is shown which is one of a pair. Tile 78 includes areas A, B, C and D. Areas A and B of tile 78 have a number value of one whereas area C has a number value of four and area D has a number value of two. Area C of tile 78 is checked to indicate it is red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 36 of the drawings a tile 80 is shown which is one of a pair. Tile 80 includes areas A, B, C and D.

Areas A and B of tile 80 have a number value of two whereas area C has a number value of three and area D has a number value of one. Areas A and C of tile 80 are checked to indicate that they are red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 37 of the drawings a tile 84 is shown which is one of a pair. Tile 84 includes areas A, B, C and D. Areas A, C and D of tile 84 have a number value of one whereas area B has a number value of five. Areas A, C and D of tile 84 are checked to indicate that they are red and the remaining area is unchecked to indicate it is blue. The other tile of the pair is not shown but is as previously described.

In FIG. 38 of the drawings a tile 86 is shown which is one of a pair. Tile 38 includes areas A, B, C and D. Areas A, B and D of tile 38 have a number value of one whereas area C has a number value of five. Area C of tile 86 is checked to indicate it is red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 39 of the drawings a tile 88 is shown which is one of a pair. Tile 88 includes areas A, B, C and D. Areas A and B of tile 88 have a number value of one whereas area C has a number value of four and area D has a number value of two. Area C of tile 88 is checked to indicate it is red and the remaining areas are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 40 of the drawings a tile 90 is shown which is one of a pair. Tile 90 includes areas A, B, C and D. Areas A and C of tile 90 have a number value of one whereas area B has a number value of three and area D has a number value of one. Areas A and C of tile 90 are'checked to indicate that they are red and the remaining area are unchecked to indicate that they are blue. The other tile of the pair is not shown but is as previously described.

In FIG. 41 of the drawings a board 92 is disclosed which includes nine columns and nine rows of squares with each square corresponding in size to that of the tiles. There is a marking in the middle square as well as in certain other squares for a reason that will soon be apparent.

Normally there will be two players or two teams with each team having one or more players. Each player at the start of the game selects a color. In addition, each player randomly selects tow tiles. For this purpose a box or other container may be provided into which the tiles are placed and from which they can be randomly and blindly selected. Each player will have a tile rack on which he will place his tiles so as to conceal them from the opposing player.

The game is commenced by one player placing a tile on the center square of the playing board which is marked. For consistency the player whose color is red will make the initial move.

The other player then selects one of his tiles and takes the selected tile so that an edge thereof is matched to an edge of a played tile. If the edge of the selected tile is one color the edge of the played tile it is matched against must be of the same color. On the other hand, if the edge of the selected tile is of two colors so that half is red and half is blue, this edge must be matched against an identical edge of the played tile,

i.e., one that is half red and half blue so that the red of the selected tile is immediately adjacent the red of the played tile and the blue of the selected tile immediately adjacent the blue of the played tile.

After a player uses a tile and before play is continued, said player selects an additional tile from the remaining tiles. The first player then uses one of his tiles to match an edge thereof with an edge ofa played tile as just described.

The object of the game is for a player to form a closure, that is a completely closed ring of his own color formed continuously from different areas of said color from different tiles. A player determines his score by counting up the value numbers in the closed area. The game is played until all the tiles are used up or passed. A tile is passed when a player cannot or does not choose to match one of his two tiles with those already played and the player then places one of his two tiles in a discard area and selects a new tile. Passed or discarded tiles cannot be used again in the same game.

If a closure is completed on a marked square or by means of a tile which is of a symmetric design, its value is doubled and if by a symmetrical tile and on a marked square the value of the closure is tripled. Bonus points are awarded after the last move. A player gets 30 bonus points for completing a game with no passes, 20 bonus points for completing a game with one pass and ten bonus points for completing a game with two passes. A five point penalty is assessed whenever two passes are made consecutively.

The game involves strategy and tactics. As an example, a player may close an area of his opponents color for a tactical reason, e.g. to prevent his opponent from closing a large area of the opponents color. When a player closes an area of his opponents color the opponent gets credit for that.

Alternatively, a player may place a tile at the edge of a board so as to prevent his opponent from obtaining a closure. A closure cannot be obtained by using a board edge as part of the closure boundary.

Initially the game is relatively simple to play when only a few tiles have been played. However, as more and mroe tiles have been played a tile has to be matched to two pre-existing tile edges or even to three or four pre-existing tile edges inasmuch as it is no longer possible to match a single edge of a tile with a single edge of a played tile. As an example, if it is desired to match one edge of a selected tile against an edge of a played tile and another edge. of the selected tile is immediately adjacent another edge of a played tile the other edge of the selected tile and the other edge of the played tile must match.

From the foregoing description it is clear that each area includes an edge which is coincident with a tile edge and the length of an area edge is equal to L/N where L is the length of the tile edge and N is a positive integer the lowest value of which is one. In the embodiment described N=l or 2 but this is for illustrative purposes only. The tiles can have different shapes so long as they are regular polygons. Of course, the board areas would have to be correspondingly shaped.

It is noted that no two adjacent areas having a common edge are of the same color. Still further, by reason of each tile being of the square cross section the sum of the value numbers of the areas of a tile equals 8.

It thus will be seen that there is provided a game utilizing a plurality of tiles which achieves the various objects of the invention and which is well adapted to meet the conditions of practical use.

As various possible embodiments might be made of the above invention, and as various changes might be made in the embodiments above set forth, it is to be understood that all matter herein described or shown in the accompanying drawings is to be interpreted as illustrative and not in a limiting sense.

Having thus described the invention there is claimed as new and desired to be secured by Letters Patent:

1. A game comprising a plurality of identical rectangular polygonal tiles, each tile including a plurality of areas with each area ofa given tile both being the same and different in size from areas on other tiles, each area having a value number assigned to it, with each area including at least one edge coincident with a tile edge, the length of the area edge being equal to L/N where L is the length of the tile edge and N is a positive integer the lowest value of which is one, each area of each tile being shaped so that a predetermined number of isosceles right triangles can be fit wherein with the leg length of each isosceles right triangle being equal to half the length of a tile edge, the value number of each area being equal to the number of isosceles right triangles that fit into said area, certain areas on a tile being visually distinguishable in a first way in a manner other than shape and value number from adjacent areas of said tile and said adjacent areas being visually distinguishable in a second way in a manner other than shape and value number from said adjacent areas of said tile, and for each tile edge of a given area and the portions of areas at said given tile edge there being a tile edge of another tile with the portions of the areas at said another tile edge being identical to said area portion at said given tile edge whereby in one aspect of the game an edge of a first tile can be matched to an edge of a second tile with the portions of the areas of said first tile at said first tile edge being visually identical to the portions of the area of said second tile at said second tile edge so that on adjacent tiles on a continuous string of identically distinguished areas can be formed.

2. A game according to claim 1 wherein each tile is square.

3. A game according to claim 1 wherein certain tiles are symmetrical tiles in that the areas of one side of a line bifurcating the tile are identical to the areas on the other side of said line i 4. A game according to claim 1 wherein there are 75 tiles, five of which are symmetrical, and of the remaining there are 35 pairs of tiles with a tile in a pair having identical areas to the areas in the other tile in the pair except that the areas in said first tile are visually distinguishable from the identical areas in the second tile. 

1. A game comprising a plurality of identical rectangular polygonal tiles, each tile including a plurality of areas with each area of a given tile both being the same and different in size from areas on other tiles, each area having a value number assigned to it, with each area including at least one edge coincident with a tile edge, the length of the area edge being equal to L/N where L is the length of the tile edge and N is a positive integer the lowest value of which is one, each area of each tile being shaped so that a predetermined number of isosceles right triangles can be fit wherein with the leg length of each isosceles right triangle being equal to half the length of a tile edge, the value number of each area being equal to the number of isosceles right triangles that fit into said area, certain areas on a tile being visually distinguishable in a first way in a manner other than shape and value number from adjacent areas of said tile and said adjacent areas being visually distinguishable in a second way in a manner other than shape and value number from said adjacent areas of said tile, and for each tile edge of a given area and the portions of areas at said given tile edge there being a tile edge of another tile with the portions of the areas at said another tile edge being identical to said area portion at said given tile edge whereby in one aspect of the game an edge of a first tile can be matched to an edge of a second tile with the portions of the areas of said first tile at said first tile edge being visually identical to the portions of the area of said second tile at said second tile edge so that on adjacent tiles on a continuous string of identically distinguished areas can be formed.
 2. A game according to claim 1 wherein each tile is square.
 3. A game according to claim 1 wherein certain tiles are symmetrical tiles in that the areas of one side of a line bifurcating the tile are identical to the areas on the other side of said line
 4. A game according to claim 1 wherein there are 75 tiles, five of which are symmetrical, and of the remaining 70 there are 35 pairs of tiles with a tile in a pair having identical areas to the areas in the other tile in the pair except that the areas in said first tile are visually distinguishable from the identical areas in the second tile. 